New Method to Calculate the Matrix Exponential

Matrix exponential is widely used in science area especially in matrix analysis. We pay particular attention to the matrix exponential. The matrix exponential is a very important subclass of control theory. In control theory it is needed to evaluate matrix exponential. In classical methods we calculate the eigenvalues of the matrix, but that the problem can be complicated if the eigenvalues are not easy to calculate. In this paper we use same methods and same procedure, but the eigenvalues of are not needed for the construction of, since most of our results use only the coefficients of the polynomial, we explain some examples how the procedure works in the method of Dr. Luis Verde Star, in his article, where it develops, he gave in his article only theory without any applied. Finally, we developed the method for evaluate the characteristic polynomial.